Abstract

The parallel systems are special important types of coherent struc- tures and have many applications in various areas. In this paper we con- sider a two-exchangeable-component parallel system for the Generalized Farlie- Gumbel-Morgenstern (Generalized FGM) distribution. We study the reliability properties of the residual lifetime of the system under the condition that both components of the system are operating at time t, and obtain an explicit ex- pression for the mean residual lifetime (MRL) for such system. The asymptotic behavior of the proposed MRL function of the system is also investigated when the exchangeable lifetimes of components have a Generalized FGM bivariate exponential. Finally, we present some results for the Kendall's Tau correlation coefficient of Generalized FGM bivariate copula.

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